Quadratic Sequences

An example of a quadratic sequence is: 2, 4, 8, 14, 22 When we find the difference line we obtain 2 4 8 14 22 2 4 6 8 The difference line is not constant so it cannot be an arithmetic sequence. However we can construct a second difference line – the difference between the […]

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Volume

A prism is a shape with a constant cross section, in other words the cross-section looks the same anywhere along the length of the solid (examples: cylinder, cuboid). The volume of a prism = the area of the cross-section × the length. So, for example, the volume of a cylinder area of a triangle = […]

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Mode, Median and Mean

There are three useful measures of average: The Mode is the most common. The Median is found by writing the list in order. For a list of numbers – which we typically have – we write them in order of size from smallest to largest. If the list has an “odd number of numbers” the […]

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Standard Form

A number is expressed in standard form if it is written aswhereis any integer, positive, negative or zero. For example,andandare all written in standard form. We are usually give a number and asked to write it in standard form: Example: Write 342 in standard form Example: Write 0.00045 in standard form Example: Write 3 in […]

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